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Finding the Fourth Proportional to 665.68, 998.56 and 376.56

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Solution

The fourth proportional to 665.68, 998.56 and 376.56 is: 564.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.68 : 998.56 = 376.56 : x
  2. Step 2: Convert to fraction form
    665.68/998.56 = 376.56/x
  3. Step 3: Cross multiply
    665.68x = 998.56 × 376.56
  4. Step 4: Simplify right side
    665.68x = 376,017.75
  5. Step 5: Solve for x
    x = 376,017.75/665.68
  6. Step 6: Final answer
    x = 564.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.